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Finding the Third Proportional to 26,571 and 56,697

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Solution

The third proportional to 26,571 and 56,697 is: 120,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,571 : 56,697 = 56,697 : x
  2. Step 2: Convert to fraction form
    26,571/56,697 = 56,697/x
  3. Step 3: Cross multiply
    26,571x = 56,697 × 56,697
  4. Step 4: Simplify right side
    26,571x = 3,214,549,809
  5. Step 5: Solve for x
    x = 3,214,549,809/26,571
  6. Step 6: Final answer
    x = 120,979.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.